Question: 1. (4 points) Perform the long division algorithm and show that 12x3 + 8x2 + 4x + 3 1+x 4x2 + 1 = 3x +

1. (4 points) Perform the long division algorithm and show that 12x3 + 8x2 + 4x + 3 1+x 4x2 + 1 = 3x + 2+- 4x2 + 1 2. (6 points) Using the identity from the previous exercise, evaluate the definite integral (1/2 12x3 + 8x2 + 4x + 3 dx. 4x2 + 1

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